GCF of 6519/729, 4808/2629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6519/729, 4808/2629 i.e 1/1916541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6519/729, 4808/2629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6519/729,4808/2629?
Given fractions are 6519/729,4808/2629
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6519/729,4808/2629, numerators are 6519,4808
Denominators are 729,2629
The GCF of 6519,4808 is 1 .
LCM of 729,2629 is 1916541.
The greatest common factor of 6519/729,4808/2629 = [GCF of 6519,4808]/[LCM of 729,2629]= 1/1916541
Therefore, the GCF of 6519/729,4808/2629 is 1/1916541.
To find the highest common factor of 6519,4808, we have to find the factors of both numbers and list the highest common factor.
The factors of 6519 are 1, 3, 41, 53, 123, 159, 2173, 6519
The factors of 4808 are 1, 2, 4, 8, 601, 1202, 2404, 4808
The HCF of 6519,4808 is 1.
Lets's calculate GCF of 6519,4808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6519,4808 By Matching Biggest Common Factor Method
Now, list down the factors of 6519
:1,3,41,53,123,159,2173,6519
Now, list down the factors of 4808
:1,2,4,8,601,1202,2404,4808
Greatest Common Factor
We found the factors 6519,4808 . The biggest common factor number is the GCF number.
So the greatest common factor 6519,4808 is 1.
Lets's calculate LCM of 729,2629
Given numbers has no common factors except 1. So, there LCM is their product i.e 1916541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1916541
Therefore, the GCF of Fractions 6519/729,4808/2629 is 1/1916541
Least Common Multiple of 729,2629 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 729,2629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2629) x common factors =1 x 1 = 1
LCM(729,2629) = ( 729 × 2629 ) / 1
LCM(729,2629) = 1916541 / 1
LCM(729,2629) = 1916541
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FAQs on GCF of Fractions of 6519/729, 4808/2629
1. What is the HCF of 6519,4808?
The HCF of 6519,4808 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6519/729, 4808/2629?
Answer: GCF of Numerators as per given numbers 6519/729, 4808/2629 is
GCF of Numerators i.e. for 6519,4808 is 1
LCM of denominators i.e. for 729,2629 is 1916541.
Thus, GCF of Fractions is 1/1916541.Finally, GCF of Fractions for 6519/729, 4808/2629 is 1/1916541.